Open AccessRetrieval of frequency spectrum from time-resolved spectroscopic data: comparison of Fourier transform and linear prediction methods
Author(s) -
Intae Eom,
Eunjin Yoon,
Sung-Hoon Baik,
Young-Tae Lim,
Taiha Joo
Publication year - 2014
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.030512
Subject(s) - fourier transform , femtosecond , optics , spectral density , frequency domain , fourier transform spectroscopy , time–frequency analysis , physics , wave packet , fourier analysis , time domain , short time fourier transform , computational physics , fourier transform infrared spectroscopy , laser , computer science , mathematics , quantum mechanics , mathematical analysis , telecommunications , radar , computer vision
Femtosecond time-resolved signals often display oscillations arising from the nuclear and electronic wave packet motions. Fourier power spectrum is generally used to retrieve the frequency spectrum. We have shown by numerical simulations and coherent phonon spectrum of single walled carbon nanotubes (SWCNT) that the Fourier power spectrum may not be appropriate to obtain the spectrum, when the peaks overlap with varying phases. Linear prediction singular value decomposition (LPSVD) can be a good alternative for this case. We present a robust way to perform LPSVD analysis and demonstrate the method for the chirality assignment of SWCNT through the time-domain coherent phonon spectroscopy.